Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696f |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-69127796403781632 = -1 · 214 · 39 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 11- -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-12649824] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
0.95463103284842 |
L(r)(E,1)/r! |
Ω |
0.1591051731399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696ec2 4356b2 69696f1 69696e2 |
Quadratic twists by: -4 8 -3 -11 |